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13276200960 = 214325111637
BaseRepresentation
bin11000101110101001…
…01100000000000000
31021021020111212221200
430113110230000000
5204142201412320
610033215021200
7646665563151
oct142724540000
937236455850
1013276200960
1156a3084310
1226a620a800
131337689119
148dd305928
1552a80e290
hex31752c000

13276200960 has 360 divisors, whose sum is σ = 50237315856. Its totient is φ = 3216506880.

The previous prime is 13276200901. The next prime is 13276201031. The reversal of 13276200960 is 6900267231.

13276200960 is a `hidden beast` number, since 1 + 3 + 27 + 620 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109262 + ... + 8110898.

Almost surely, 213276200960 is an apocalyptic number.

13276200960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13276200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118657928).

13276200960 is an abundant number, since it is smaller than the sum of its proper divisors (36961114896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13276200960 is a wasteful number, since it uses less digits than its factorization.

13276200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13276200960 in words is "thirteen billion, two hundred seventy-six million, two hundred thousand, nine hundred sixty".